Question 1

Which is the correct Venn diagram for the given cardinalities?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E)  None of these 
A) 
  
B) 
  
C) 
  
D) 
  
E)  None of these

Question 2

Complete the following truth table. Identify the last 25.
column in the table as a condition statement, a fallacy,
or a tautology. 
$\begin{array} { | c | c | c | c | } 
\hline p & \boldsymbol { q } & \sim \boldsymbol { q } & \boldsymbol { p } \wedge \sim \boldsymbol { q } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$

Accepted Answer

The answer of Complete the following truth table. Identify the...

Question 3

Which of the following are propositions?
-Violets are Blue.

Accepted Answer

Violets ar

Question 4

Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B}
A = {0, 5, 6, B}
B = {1, 5, 7, A}
Find the following:
-$$A \cap B$$

Accepted Answer

The answer of Let U = {0, 1, 2, 3,...

Question 5

Which of the following are propositions?
-$$x - 7 > 0$$

Accepted Answer

The answer of  Which of the following are propositions?
-\[x...

Question 6

Use set notation to represent each of the following.
-The universal set of U.S. states that border the Pacific Ocean.

Accepted Answer

A)  {California, Oregon, Washington} 
B)  {Alaska, California, Oregon, Washington} 
C)  {Alaska, California, Hawaii, Oregon, Washington} 
D)  {Alaska, Arizona, California, Hawaii, Oregon, Washington} 
E)  None of these 
A)  {California, Oregon, Washington} 
B)  {Alaska, California, Oregon, Washington} 
C)  {Alaska, California, Hawaii, Oregon, Washington} 
D)  {Alaska, Arizona, California, Hawaii, Oregon, Washington} 
E)  None of these

Question 7

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}?
-The set of lowercase letters in the English alphabet.

Accepted Answer

{A, B, C,

Question 8

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
A = {1, 2, 8, 9}
B = {1, 3, 6, 7, 8}
C = {5, 6, 7, 8, 9}
Find the following:
-$| A \cup B |$

Accepted Answer

A)  4 
B)  5 
C)  2 
D)  7 
E)  None of these 
A)  4 
B)  5 
C)  2 
D)  7 
E)  None of these

Question 9

For each of the following propositions, find a negation.
-$x - 1 \leq 0$

Accepted Answer

A)  $x - 1 > 0$ 
B)  $x - 1 \geq 0$ 
C)  $x - 1 \neq 0$ 
D)  $x - 1 = 0$ 
E)  None of these 124 Instructor's Resource Guide Mathematics for New Technologies 
A)  $x - 1 > 0$ 
B)  $x - 1 \geq 0$ 
C)  $x - 1 \neq 0$ 
D)  $x - 1 = 0$ 
E)  None of these 124 Instructor's Resource Guide Mathematics for New Technologies

Question 10

Let 
U = {0, 1, 2, 3, 4, 5, 6, 7}
A = {0, 3, 6, 7}
B = {1, 2, 4, 6}
Find the following : 
-{3, 27, 243, …}

Accepted Answer

The answer of Let 
U = {0, 1, 2, 3,...

Question 11

Use set notation to represent each of the following.
-Which of the following is a subset of the set Q, where Q = {1, 4, 16, 64, …}?

Accepted Answer

A)  {1, 4, 258} 
B)  {1024, 4096} 
C)  {128, 512, 2048} 
D)  {16, 64, 384} 
E)  None of these 
A)  {1, 4, 258} 
B)  {1024, 4096} 
C)  {128, 512, 2048} 
D)  {16, 64, 384} 
E)  None of these

Question 12

Let $| A \cap B \cap C | = 18 , | A | = 46 , | B | = 48 , | C | = 74 , | A \cap B | = 18$, $| A \cap C | = 21$, and $| B \cap C | = 15$. What is $| A \cup B \cup C |$ ?

Accepted Answer

A)  128 
B)  130 
C)  132 
D)  134 
E)  None of these 
A)  128 
B)  130 
C)  132 
D)  134 
E)  None of these

Question 13

Evaluate $f ( \mathbf { 1 } , \mathbf { 0 } ) \text { for } f ( \boldsymbol { A } , \boldsymbol { B } ) = \boldsymbol { A } \wedge \sim \boldsymbol { B } .$

Accepted Answer

A)  0 
B)  1 
A)  0 
B)  1

Question 14

Let 
U = {0, 1, 2, 3, 4, 5, 6, 7}
A = {0, 3, 6, 7}
B = {1, 2, 4, 6}
Find the following : 
-{9, 81, 512}

Accepted Answer

The answer of Let 
U = {0, 1, 2, 3,...

Question 15

For each of the following propositions, find a negation.
-$$x + 11 = 19$$

Accepted Answer

The answer of For each of the following propositions, find...

Question 16

Which of the following are propositions?
-Describe an element in the set $M \cup E \cup F$

Accepted Answer

Either a DSL modem,

Question 17

Shade the specified region on the following Venn diagram.

Accepted Answer

The answer of Shade the specified region on the following...

Question 18

Let 
U = {0, 1, 2, 3, 4, 5, 6, 7}
A = {0, 3, 6, 7}
B = {1, 2, 4, 6}
Find the following : 
-{1, 27, 729}

Accepted Answer

The answer of Let 
U = {0, 1, 2, 3,...

Question 19

In the truth table below, is the last column in the table

Accepted Answer

A)  a condition statement, 
B)  a fallacy, 
C)  a tautology, 
D)  or none of these?
$\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { p } & \boldsymbol { q } & \sim \boldsymbol { p } & \boldsymbol { p } \wedge \sim \boldsymbol { p } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$ 
A)  a condition statement, 
B)  a fallacy, 
C)  a tautology, 
D)  or none of these?
$\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { p } & \boldsymbol { q } & \sim \boldsymbol { p } & \boldsymbol { p } \wedge \sim \boldsymbol { p } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$

Question 20

Shade the specified region on the following Venn diagram.

Accepted Answer

The answer of Shade the specified region on the following...

Which is the correct Venn diagram for the given cardinalities?

Complete the following truth table. Identify the last 25. column in the table as a condition statement, a fallacy, or a tautology. p \sim \wedge\sim 1 1 1 0 0 1 0 0

Which of the following are propositions? -Violets are Blue.

Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - $A \cap B$

Which of the following are propositions? - $x - 7 > 0$

Use set notation to represent each of the following. -The universal set of U.S. states that border the Pacific Ocean.

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -The set of lowercase letters in the English alphabet.

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - $| A \cup B |$

For each of the following propositions, find a negation. - $x - 1 \leq 0$

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{3, 27, 243, …}

Use set notation to represent each of the following. -Which of the following is a subset of the set Q, where Q = {1, 4, 16, 64, …}?

Let $| A \cap B \cap C | = 18 , | A | = 46 , | B | = 48 , | C | = 74 , | A \cap B | = 18$ , $| A \cap C | = 21$ , and $| B \cap C | = 15$ . What is $| A \cup B \cup C |$ ?

Evaluate $f ( \mathbf { 1 } , \mathbf { 0 } ) \text { for } f ( \boldsymbol { A } , \boldsymbol { B } ) = \boldsymbol { A } \wedge \sim \boldsymbol { B } .$

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{9, 81, 512}

For each of the following propositions, find a negation. - $x + 11 = 19$

Which of the following are propositions? -Describe an element in the set $M \cup E \cup F$

Shade the specified region on the following Venn diagram.

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{1, 27, 729}

In the truth table below, is the last column in the table

Shade the specified region on the following Venn diagram.

Computation

Binary Numbers

Octal and Hexadecimal Numbers

Boolean Circuits

Graphs

Computer Science and Mathematics

Filters

Exam 4: Sets and Algebra

Which is the correct Venn diagram for the given cardinalities?

Complete the following truth table. Identify the last 25. column in the table as a condition statement, a fallacy, or a tautology. p \sim \wedge\sim 1 1 1 0 0 1 0 0

Which of the following are propositions? -Violets are Blue.

Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - A∩BA \cap BA∩B

Which of the following are propositions? - x−7>0x - 7 > 0x−7>0

Use set notation to represent each of the following. -The universal set of U.S. states that border the Pacific Ocean.

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -The set of lowercase letters in the English alphabet.

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - ∣A∪B∣| A \cup B |∣A∪B∣

For each of the following propositions, find a negation. - x−1≤0x - 1 \leq 0x−1≤0

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{3, 27, 243, …}

Use set notation to represent each of the following. -Which of the following is a subset of the set Q, where Q = {1, 4, 16, 64, …}?

Evaluate f(1,0) for f(A,B)=A∧∼B.f ( \mathbf { 1 } , \mathbf { 0 } ) \text { for } f ( \boldsymbol { A } , \boldsymbol { B } ) = \boldsymbol { A } \wedge \sim \boldsymbol { B } .f(1,0) for f(A,B)=A∧∼B.

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{9, 81, 512}

For each of the following propositions, find a negation. - x+11=19x + 11 = 19x+11=19

Which of the following are propositions? -Describe an element in the set M∪E∪FM \cup E \cup FM∪E∪F

Shade the specified region on the following Venn diagram.

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{1, 27, 729}

In the truth table below, is the last column in the table

Shade the specified region on the following Venn diagram.

Computation

Binary Numbers

Octal and Hexadecimal Numbers

Boolean Circuits

Graphs

Computer Science and Mathematics

Filters

Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - $A \cap B$

Which of the following are propositions? - $x - 7 > 0$

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - $| A \cup B |$

For each of the following propositions, find a negation. - $x - 1 \leq 0$

Evaluate $f ( \mathbf { 1 } , \mathbf { 0 } ) \text { for } f ( \boldsymbol { A } , \boldsymbol { B } ) = \boldsymbol { A } \wedge \sim \boldsymbol { B } .$

For each of the following propositions, find a negation. - $x + 11 = 19$

Which of the following are propositions? -Describe an element in the set $M \cup E \cup F$